Study on the Selection of Relief Supply Reservation Schemes Based on Prospect Theory in Hesitant Fuzzy Language Environment

Strategic prepositioning of relief supplies, especially the decision of appropriate reservation schemes, has significant impacts on rapid disaster response to ensure sufficient relief supplies. We recognize the influence of decision maker's risk attitude and uncertain information on emergency decision making, and present a method for choosing the relief supply reservation scheme under hesitant fuzzy linguistic environment based on prospect theory. Firstly, the judgment matrix is constructed according to the hesitant fuzzy linguistic evaluation information given by experts. Secondly, drawing on the idea of prospect theory, this paper gives the method of calculating the situation profit and loss value and the situational weight of the decision-maker's psychological behavior characteristics under different levels of disaster. On this basis, the index prospect values of each option under each attribute are calculated. In view of the uncertainty of attribute weights in the decision-making framework, a two-stage comprehensive prospect cross-evaluation linear programming model is constructed. As a result, all the emergency supplies reservation schemes are sorted by crossing values and the most comprehensive security option is selected. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.